Pith Number

pith:ZGVFKBD5

pith:2012:ZGVFKBD5V6IQ67YXFP4DYRJUQ4

not attested not anchored not stored refs pending

Undominated Groves Mechanisms

Evangelos Markakis, Krzysztof R. Apt, Mingyu Guo, Vincent Conitzer

arxiv:1203.1809 v2 · 2012-03-08 · cs.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGVFKBD5V6IQ67YXFP4DYRJUQ4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:37:19.059706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9aa55047daf910f7f172bf83c453487083cfcbaccd2f5a2b21b10a5193d6574

Aliases

arxiv: 1203.1809 · arxiv_version: 1203.1809v2 · doi: 10.48550/arxiv.1203.1809 · pith_short_12: ZGVFKBD5V6IQ · pith_short_16: ZGVFKBD5V6IQ67YX · pith_short_8: ZGVFKBD5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZGVFKBD5V6IQ67YXFP4DYRJUQ4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: c9aa55047daf910f7f172bf83c453487083cfcbaccd2f5a2b21b10a5193d6574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76739f28dbec42ebf0d27254648592821de87436c5e52e0838f35711db3c8054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2012-03-08T14:20:07Z",
    "title_canon_sha256": "18184e3d4f09b1212d4e1bef2acc1380701a6aedc15feab9c508687eee2d07e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1809",
    "kind": "arxiv",
    "version": 2
  }
}